| Base | Representation |
|---|---|
| bin | 1111100111110010000… |
| … | …01111101010101000000 |
| 3 | 1220022110022022121001000 |
| 4 | 13303321001331111000 |
| 5 | 32243233010003312 |
| 6 | 1050325324412000 |
| 7 | 53531156410152 |
| oct | 7637101752500 |
| 9 | 1808408277030 |
| 10 | 536753984832 |
| 11 | 1976aa6a427a |
| 12 | 880399a7000 |
| 13 | 3b8008700b0 |
| 14 | 1bd9c668ad2 |
| 15 | de6767cadc |
| hex | 7cf907d540 |
536753984832 has 896 divisors, whose sum is σ = 1868009472000. Its totient is φ = 149657518080.
The previous prime is 536753984831. The next prime is 536753984857. The reversal of 536753984832 is 238489357635.
It is a happy number.
536753984832 is a `hidden beast` number, since 5 + 3 + 67 + 5 + 3 + 98 + 483 + 2 = 666.
It is a super-3 number, since 3×5367539848323 (a number of 36 digits) contains 333 as substring.
Its product of digits (130636800) is a multiple of the sum of its prime divisors (540).
It is a self number, because there is not a number n which added to its sum of digits gives 536753984832.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (536753984831) by changing a digit.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1495136269 + ... + 1495136627.
It is an arithmetic number, because the mean of its divisors is an integer number (2084832000).
Almost surely, 2536753984832 is an apocalyptic number.
536753984832 is a gapful number since it is divisible by the number (52) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 536753984832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934004736000).
536753984832 is an abundant number, since it is smaller than the sum of its proper divisors (1331255487168).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
536753984832 is a wasteful number, since it uses less digits than its factorization.
536753984832 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 556 (or 540 counting only the distinct ones).
The product of its digits is 130636800, while the sum is 63.
The spelling of 536753984832 in words is "five hundred thirty-six billion, seven hundred fifty-three million, nine hundred eighty-four thousand, eight hundred thirty-two".
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